Question

 Trapezium given below; find its area.

Answer 1

For the triangle EBC,
S = 19 cm

Area of ΔEBC = `sqrt( 19 xx ( 19 - 16 ) xx ( 19 - 12 ) xx ( 19 - 10 ))`

= `sqrt( 19 xx 3 xx 7 xx 9 )`

= 59.9 sq.cm

Let h be the height.
Area of ΔEBC= `1/2` x 12 x h
⇒ 59.9 = 6h
⇒ h = `59.9/6` = 9.98 cm

Area of ABCD = `1/2` x ( 20 + 32 ) x 9.98

                       = `1/2` x 52 x 9.98
                       = 259.48 cm²